K13n1249

Knot presentations

Dowker-Thistlethwaite code

4 8 -16 2 -20 26 -18 -6 -24 -22 -10 -14 12

Notes on presentations of K13n1249

Polynomial invariants

Jones polynomial	Data:K13n1249/Jones Polynomial
Alexander polynomial	$t^{4}-5t^{3}+13t^{2}-22t+27-22t^{-1}+13t^{-2}-5t^{-3}+t^{-4}$
Conway polynomial	Data:K13n1249/Conway Polynomial
Determinant	109
Signature	0
HOMFLY-PT polynomial	$z^{8}-a^{2}z^{6}-z^{6}a^{-2}+5z^{6}-3a^{2}z^{4}-3z^{4}a^{-2}+9z^{4}-3a^{2}z^{2}-3z^{2}a^{-2}+7z^{2}-a^{2}-a^{-2}+3$
Kauffman polynomial	$a^{2}z^{10}+z^{10}+a^{3}z^{9}+6az^{9}+5z^{9}a^{-1}+2a^{2}z^{8}+9z^{8}a^{-2}+11z^{8}+a^{3}z^{7}-7az^{7}+8z^{7}a^{-3}+4a^{4}z^{6}-15z^{6}a^{-2}+4z^{6}a^{-4}-23z^{6}+a^{5}z^{5}+2a^{3}z^{5}+5az^{5}-10z^{5}a^{-1}-13z^{5}a^{-3}+z^{5}a^{-5}-6a^{4}z^{4}-2a^{2}z^{4}+9z^{4}a^{-2}-5z^{4}a^{-4}+18z^{4}-2a^{5}z^{3}-6a^{3}z^{3}-5az^{3}+6z^{3}a^{-1}+6z^{3}a^{-3}-z^{3}a^{-5}+2a^{4}z^{2}-2a^{2}z^{2}-4z^{2}a^{-2}+z^{2}a^{-4}-9z^{2}+a^{5}z+2a^{3}z+az-za^{-1}-za^{-3}+a^{2}+a^{-2}+3$

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